Answer to Question #306372 in Calculus for jin

Question

Differentiate the following functions. Show step by step solution and

Indicate your final answer.

1. X = 1/t

2. y = 4x²– 3x – 2

3. y = (x+2) ^1/2

Answer 1

Let us differentiate the following functions.

1. $X '=(\frac{ 1}t)'=-\frac{1}{t^2}$

2. $y '= (4x^2– 3x – 2)'=8x-3$

3. $y' = ((x+2) ^\frac{1}2)'=\frac{1}2(x+2)^{-\frac{1}2}$